Turkish Journal of Computer and Mathematics Education
Journal license

Journal

Turkish Journal of Computer and Mathematics Education


Volume
& Issue

Volume 14, Issue 3


Published
on


Pages

441-453


DOI

Article

Fractional Order Differential Equation In Banach Algebra


Authors

Uttara V. Deshmukh Affiliation:
Department of Applied Science, Jawaharlal Nehru Engineering College, MGM University, Aurangabad, MS.
and Gajanan C. Lomte Affiliation:
Department of Applied Science, Jawaharlal Nehru Engineering College, MGM University, Aurangabad, MS.


Abstract

In this paper, we investigate the fractional order nonlinear quadratic differential equation with initial value condition in Banach algebras under existence of solution. The primary conclusion is established using basic hybrid fixed point theory methods for three operators under certain monotonicity criteria.


Keywords

Fractional order quadratic differential equation, fixed point theorem, locally attractivitty, existence of solution, Banach algebra.


Citation

Deshmukh, U. V. & Lomte, G. C. (2023). Fractional order differential equation in banach algebra. Turkish Journal of Computer and Mathematics Education, 14(3), 441–453.

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